Geometric Schrödinger-Airy flows on Kähler manifolds

DOI10.1007/s10114-013-2122-3zbMath1266.58020arXiv1203.0549OpenAlexW2071326973MaRDI QIDQ1940848

You-De Wang, Xiao Wei Sun

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0549

zbMATH Keywords

conservation lawsSchrödinger-Airy flowKdV flowcomplex-valued mKdV equationgeneralized Hasimoto transformationgeometric energy method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Global differential geometry of Hermitian and Kählerian manifolds (53C55) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (3)

New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

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